Approximate the Sum to the Indicated Accuracy $\sum _ { n = 1 } ^ { \infty } \frac { 4 ( - 1 ) ^ { n - 1 } } { n ^ { 7 } }$

question 16

Multiple Choice

Approximate the sum to the indicated accuracy.
$\sum _ { n = 1 } ^ { \infty } \frac { 4 ( - 1 ) ^ { n - 1 } } { n ^ { 7 } }$ (five decimal places)

• A) \(6.97036\)
• B) \(4.97036\)
• C) \(7.97036\)
• D) \(3.97036\)
• E) \(5.97036\)

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Definitions:

Fair Deal

A set of social and economic reforms proposed by President Harry S. Truman to continue the legacy of the New Deal.

Harry Truman

The 33rd President of the United States (1945-1953), known for his decision to use atomic bombs against Japan in WWII and for initiating the Marshall Plan to rebuild Europe.

New Deal

A set of measures taken by President Franklin D. Roosevelt in the 1930s in the United States, comprising program series, public works projects, financial restructuring, and regulations to assist in recovering from the Great Depression.

Cold War

A period of geopolitical tension between the Soviet Union and the United States and their respective allies from the end of World War II until the dissolution of the Soviet Union, characterized by threats, propaganda, and other measures short of open warfare.